1012341847104 has 567 divisors, whose sum is σ = 3471045317103. Its totient is φ = 281271803904.

The previous prime is 1012341847081. The next prime is 1012341847159. The reversal of 1012341847104 is 4017481432101.

The square root of 1012341847104 is 1006152.

It is a perfect power (a square), and thus also a powerful number.

1012341847104 is a `hidden beast` number, since 10 + 123 + 418 + 4 + 7 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170939248704 + 841402598400 = 413448^2 + 917280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8958777352 + ... + 8958777464.

Almost surely, 2^{1012341847104} is an apocalyptic number.

1012341847104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1012341847104 is the 1006152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012341847104

1012341847104 is an abundant number, since it is smaller than the sum of its proper divisors (2458703469999).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012341847104 is an equidigital number, since it uses as much as digits as its factorization.

1012341847104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 1012341847104 by its sum of digits (36), we get a square (36444306495744 = 6036912²).

1012341847104 divided by its sum of digits (36) gives a square (28120606864 = 167692²).

The spelling of 1012341847104 in words is "one trillion, twelve billion, three hundred forty-one million, eight hundred forty-seven thousand, one hundred four".